Clifford gates by code deformation

@article{Bombn2011CliffordGB,
  title={Clifford gates by code deformation},
  author={H. Bomb́ın},
  journal={New Journal of Physics},
  year={2011},
  volume={13},
  pages={043005}
}
  • H. Bomb́ın
  • Published 2011
  • Physics
  • New Journal of Physics
  • Topological subsystem color codes add an important feature to the advantages of topological codes: error tracking only involves measuring two local operators in a two-dimensional setting. Unfortunately, currently known methods for computing with them are highly unpractical. We give a mechanism for implementing all Clifford gates by code deformation in a planar setting. In particular, we use twist braiding and express its effects in terms of certain colored Majorana operators. 

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